Three different processes that can occur in an ideal monoatomic gas are shown in the $\mathrm{P}$ vs $\mathrm{V}$ diagram. The paths are lebelled as $\mathrm{A} \rightarrow \mathrm{B}, \mathrm{A} \rightarrow \mathrm{C}$ and $\mathrm{A} \rightarrow \mathrm{D}$. The change in internal energies during these process are taken as $E_{A B}$, $E_{\mathrm{AC}}$ and $E_{\mathrm{AD}}$ and the workdone as $W_{\mathrm{AB}}, W_{\mathrm{AC}}$ and $W_{\mathrm{AD}}$. The correct relation between these parameters are :
Correct Option: , 2
(2) Temperature change $\Delta T$ is same for all three
processes $A \rightarrow B ; A \rightarrow C$ and $A \rightarrow D$
$\Delta U=n C_{v} \Delta T=$ same
$E_{A B}=E_{A C}=E_{A D}$
Work done, $W=P \times \Delta V$
$A B \rightarrow$ volume is increasing $\Rightarrow W_{A B}>0$
$A D \rightarrow$ volume is decreasing $\Rightarrow W_{A D}<0$
$A C \rightarrow$ volume is constant $\Rightarrow W_{A C}=0$
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